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Finding the Fourth Proportional to 390,786.76, 585,786.30 and 154,037.80

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Solution

The fourth proportional to 390,786.76, 585,786.30 and 154,037.80 is: 230,901.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,786.76 : 585,786.30 = 154,037.80 : x
  2. Step 2: Convert to fraction form
    390,786.76/585,786.30 = 154,037.80/x
  3. Step 3: Cross multiply
    390,786.76x = 585,786.30 × 154,037.80
  4. Step 4: Simplify right side
    390,786.76x = 90,233,232,922.14
  5. Step 5: Solve for x
    x = 90,233,232,922.14/390,786.76
  6. Step 6: Final answer
    x = 230,901.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.